You must design two popcorn containers for a movie theater. One container must be a cone and the other a cylinder. Each container must have the same base and the same height.

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Popcorn Containers

You will only construct one base for the cylinder and no base for the cone

1. Sketch and label the diagram and nets for the cone and cylinder you choose. Make sure your height and diameter do not exceed 8.5 cm.

2. Construct each container

3. Include your popcorn logo on each container

4. Verify that your cone and cylinder have the same base and height using volume.

5. Explain how you were able to use volume to verify this.

You Will Turn in:

· Your 3-D sketch of the cone and cylinder, labeled

· Your sketch of the nets of the cone and cylinder,

labeled

· Your calculations

· Your reflection

· Your cone & cylinder with logo displayed in the room

You will only construct one base for the cylinder and no base for the cone

Sketch a 3-D diagram

Slant height

The slant height of the cone is the radius of the circle needed to make the cone.

cone

Slant height is radius

How many degrees do you need for the central angle?

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Sketch the nets

Insert 3-D diagram

here

Insert sketch of nets here

Insert snapshot of calculations here

Reflection

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Did your cone and cylinder have the same base and height? If not, explain why you think it didn’t. Be specific.

How many cones of popcorn did it take to fill your cylinder?

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Calculate the volume of your cone and cylinder:

Were you able to prove the formula for the volume of a cone with your constructions? Why or why not?